How do you find the area of the pre image and the image?
Coordinates for the pre-image are X(3,18) Y(18,18) and Z(18,9) and the image coordinates are X’(1,6) Y’(6,6) Z’ (6,3)
and what is the relationship between the two areas?
Answer: To find the area of the pre-image and the image, you can use the coordinates of the vertices of the shapes to calculate the lengths of the sides and use the formula for the area of a triangle:
Area = (base * height)/2
For the pre-image, the coordinates are X(3,18) Y(18,18) and Z(18,9). The base of the triangle is the distance between X and Z, which is 18 - 3 = 15. The height of the triangle is the distance between Y and Z, which is 18 - 9 = 9. The area of the pre-image is therefore:
Area = (15 * 9)/2 = 67.5
For the image, the coordinates are X’(1,6) Y’(6,6) Z’ (6,3). The base of the triangle is the distance between X’ and Z’, which is 6 - 1 = 5. The height of the triangle is the distance between Y’ and Z’, which is 6 - 3 = 3. The area of the image is therefore:
Area = (5 * 3)/2 = 7.5
The relationship between the two areas is that the area of the image is smaller than the area of the pre-image. This is because the image has been scaled down in size relative to the pre-image. The amount by which the image has been scaled down can be calculated by dividing the area of the image by the area of the pre-image:
Scale factor = area of image / area of pre-image = 7.5 / 67.5 = 0.11
This means that the image has been scaled down by a factor of 0.11 relative to the pre-image.
Step-by-step explanation:
Answer:
preimage area: 67.5 square unitsimage area: 7.5 square unitsimage area is 1/9 of preimage area, the square of the scale factorStep-by-step explanation:
You want to know the areas and their relationship of the preimage with coordinates X(3,18), Y(18,18), and Z(18,9), and the image with coordinates X’(1,6), Y’(6,6), Z’ (6,3).
TrianglesWhen you plot the points on a graph, you see they define right triangles. Each has sides aligned with the x- and y-axes, so it is easy to find their dimensions by counting grid squares or subtracting coordinates.
The preimage triangle is 18-3 = 15 units in the x-direction, and 18-9 = 9 units in the y-direction.
The image triangle is 6-1 = 5 units in the x-direction, and 6-3 = 3 units in the y-direction.
We notice that both the coordinates and the dimensions of the image triangle are 1/3 those of the preimage triangle.
AreasThe area of each triangle is given by the formula ...
A = 1/2bh
Using the dimensions we found above, the areas are ...
preimage area: 1/2(15)(9) = 135/2 = 67.5 . . . . square units
image area: 1/2(5)(3) = 15/2 = 7.5 . . . . square units
Relationship
We have observed that the image dimensions are 1/3 those of the preimage. The image area is 7.5/67.5 = 1/9 of that of the preimage. This value is the square of the scale factor of the dimensions,
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
x = 28
Step-by-step explanation:
please help me with these questions and show how u got them! i will mark you brainliest
Step-by-step explanation:
There aren't any like terms in the situations to solve then
Giving Brainliest! The scatter plot shows the atmospheric carbon dioxide concentration since 2005. Select the correct answers in the drop down menu.
Answer:
cannot see what is in drop-downs but here are my answers:
risen
428.643
strong positive
highly accurate
Step-by-step explanation:
PLEASE HELP f(x)=x^2-12x+35 g(x)=x−5, find(f⋅g)(x)
Step-by-step explanation:
this is a multiplication dot, right ?
so,
(f.g)(x)
or
(f×g)(x)
any arithmetic operation (like +, -, ×, ÷) between 2 functions is done by applying that operation to the functional expressions.
(f×g)(x) = (x² - 12x + 35)(x - 5) =
= x³ - 5x² - 12x² + 60x + 35x -175 =
= x³ - 17x² + 95x - 175
Step-by-step explanation:
(f.g)(x) = f(x) . g(x)
= (x² - 12x + 35)(x - 5)
=x(x²-12x+35) - 5(x²-12x+35)
= x³-12x²+35x-5x²+60x-175
(f.g)(x)=x³-17x²+95x-175
Round off 5698 and 8236to the nearest tens.After rounding them off, add them. Then, Round off the sum to the nearest hundred. What do you get?
Answer:
13900
Step-by-step explanation:
Round off 5698 to it nearest tens
5700
Then Round off 8236 to its nearest tens
8240
Add up 5700 + 8240 = 13940
Round off 13940 to its nearest hundred
13900
Ebony owns a dress-making company that sells directly to stores. She charges $14.60 per dress if the store orders up to 40 dresses. For each additional dress ordered after the initial 40 dresses, Ebony takes 1/4 off the original price. If a store bought 56 dresses from Ebony, how much did the store pay?
Answer:
The store pays $992.80 dollars
Step-by-step explanation:
First we multiply 14.60 by 40.
14.60 x 40 = 584
Next we find out what 14.60 times 1/2 is.
14.60 x 1/2 = 7.3
Then we multiply 56 by 7.3
56 x 7.3 = 408.8
Finally we add both prices.
584 + 408.8 = 992.80
So, the answer is $992.80
Hope this helps! :)
At what point does the graph of the linear equation 2x 3y =- 15?
The graph of the linear equation 2x - 3y = -15 is a line that passes through the point (-5, 5), and has a slope of 2/3.
The linear equation
2x - 3y = -15
can be written in the form
y = mx + b,
where m is the slope and b is the y-intercept. To find the slope of this equation, we can rearrange the equation to be in the form y = mx + b, which gives us
y = (2/3)x - 5.
This means that the slope of the line is 2/3. To find the y-intercept, we can plug in 0 for x and solve for y. This gives us
y = -5.
Therefore, the graph of this equation is a line that passes through the point (-5, 5) and has a slope of 2/3.
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How do you find the third angle of a triangle if two angles are given?
To find the third angle of a triangle if you know the measures of the other two angles, you can use the fact that the sum of the measures of the angles in any triangle is always 180 degrees.
For example, let's say you know that angle A measures x degrees and angle B measures y degrees. To find the measure of angle C (the third angle), you can use the following equation:
x + y + C = 180°
To solve for C, you can subtract x and y from both sides of the equation:
C = 180 - x - y
So, the measure of angle C is equal to 180 degrees minus the measure of angle A and angle B.
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what is the answer
A
B
C
D
Which of the following is a radical equation?
X+ sr 5-12 X^2 = 16
3+ x sr 7 = 13
7sr x =14
solve (2+2)+(4-1). ASAP, it's test
??
¯\_(ツ)_/¯
4+3
7
the answer is 7.
Answer:
[tex] \huge \boxed{\displaystyle 7}[/tex]
Step-by-step explanation:
we would like to simplify the following expression:
[tex] \displaystyle (2 + 2) + (4 - 1)[/tex]
in order to do we can consider the order of PEMDAS which is the abbreviation of Parentheses, Exponent, Multiplication,or Division, Addition or substraction
since Parentheses come first we'll simplify parentheses:
[tex] \displaystyle 4 + 3[/tex]
simplify addition:
[tex] \displaystyle 7[/tex]
and we are done!
Can someone please help me with this? and also help me understand how to do it I have a test this Friday.
The solution to the equation is g = 4π² ( L / T² )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The formula to determine the time period of a simple pendulum is given by
T = 2π √ ( L / g ) be equation (1)
where L = length of string
g = acceleration due to gravity
On simplifying the equation , we get
Divide by 2π on both sides of the equation , we get
√ ( L / g ) = T / 2π
Squaring both sides of the equation , we get
( L / g ) = T² / ( 2π )²
( L / g ) = T² / 4π²
Now , taking reciprocals on both sides of the equation , we get
g / L = 4π² / T²
Multiply by L on both sides of the equation , we get
g = 4π² ( L ) / T²
On simplifying the equation , we get
g = 4π² ( L / T² )
Therefore , the value of A is 4π² ( L / T² )
Hence , the equation is g = 4π² ( L / T² )
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Marking brainliest
Can someone tell me why animal testing is bad?
The harmful use of animals in experiments is not only cruel but also often ineffective. Animals do not get many of the human diseases that people do, such as major types of heart disease, many types of cancer, HIV, Parkinson's disease, or schizophrenia.
Find the measure of the third side. Round your answer to the nearest whole number.
Answer:
20
Step-by-step explanation:
A-c and B-c are the same length and rounded would give you 20
What does =] mean in text?
It typically means that the person is being friendly and is in a good mood.The expression =] is often used as an emoticon to express friendliness, positivity, and happiness. It can be used as a stand-alone expression or as part of a longer sentence.
The expression =] is commonly used in text conversations as an emoticon to express friendliness, positivity, and happiness. It is typically used when a person wants to convey a feeling of warmth and good cheer. The expression can be used as a stand-alone expression or as part of a longer sentence. When used alone, it has a meaning similar to a smiley face and can be used to respond to a message in a positive way. When used as part of a longer sentence, it can be used to express a feeling of contentment. As an emoticon, it has no specific meaning, but it can be used to show that the person is in a positive and good mood. Using this expression can be a way to show that you are happy and in a friendly mood.
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1. You find that of your simplified responses to A through E match to a simplified response among F through J. List the matches by letter and write what the simplified response is to each matched pair.
Answer:
2. Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.
Answer:
3. Suppose m = 2 + 6i, and║m+n║= 3√10 , where n is a complex number.
a. What is the minimum value of the modulus of n?
b. Provide one example of the complex number, n.
Answer:
F.(8-√-11)(8+√-11)
8²-11²i²
8²-121×-1
64+121
=185
G.
(3+i)(2+i)
6+3i+2i+i²
6-1+5i
5+5i
H.
(4+6i)+(-7-7i)
5+6i-7-7i
-2-i
i.
i^24
(i^2)^12
=1
J.
(-3+10i)-(-5+4i)
-3+10i+5-4i
2+6i.
The simplified form of the expressions are 185, G. 5 + 5i, H. -2 - i, I. 1, j. 2 + 6i.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
F. (8-√-11)(8+√-11)
[tex]8^2 - 11^2 i^2\\8^2 - 121 \times -1\\64+121\\=185[/tex]
G.
(3+i)(2+i)
[tex]6+3i+2i+i^2\\6-1+5i\\5+5i[/tex]
H.
[tex](4+6i)+(-7-7i)\\5+6i-7-7i\\-2-i[/tex]
i.
[tex]i^24(i^2)^12=1[/tex]
J.
[tex](-3+10i)-(-5+4i)\\-3+10i+5-4i\\2+6i.[/tex]
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14π
18π
36π
12π
00000000
According to the direct instruction, what is the recommended amount of servings for milk or milk products per day?
a.5 cups
b.3 cups
c.1 cup
Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.
What are dairy products ?Food items manufactured from (or containing) milk are referred to as dairy products or milk products (also known as lacticinia).
The cow, water buffalo, nanny goat, and ewe are the most popular dairy animals.
Dairy products include staples from Western grocery stores including yogurt, cheese, and butter.
A dairy is a place where dairy products are made .Various amounts of dairy products are consumed worldwide (see consumption patterns worldwide) .
After standardizing the fat content and optional homogenization or pasteurization, milk is produced in a variety of grades with the potential addition of the microorganisms Streptococcus lactis and Leuconostoc citrovorum.
Based on the type of product generated, milk can be divided into a number of distinct categories, including cream, butter, cheese, newborn formula, and yogurt.
Hence, Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.
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evaluate the expression 4x^3 if x is 1
Answer:
Calculate the number of whole years it takes for the population to decrease from 2180 to less than 1000
Step-by-step explanation:
18) If you invest $2400 at an annual interest rate of 4.5% that is compounded quarterly, how much will your investment be
worth in 12 years?
The amount of interest a single deposit earns for the period of one year is equal to your initial investment multiplied by this yield.
What is the formula for calculating investment interest?Compound interest may be computed using the formula FV = P*(1+R/N)(N*T), where FV is the loan or investment’s future value, P is the original principle amount, R is the yearly interest rate, N is the number of times interest is compounded each year, and T is the period in years.
The amount of interest earned on a single deposit over a year is equal to your initial investment multiplied by this return. As an example: After a year, $1,000 invested at a 5.00% annual effective return yields $50.00 in interest. $1,000.00 x 5.00% = $50.00.
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A team of scientists is developing a computer model to predict the change in average global temperatures over the next 100 years. The model accounts for a wide variety of variables that could affect temperature during this time. Which variable would most likely affect the temperatures that the model predicts
Scientists are developing a computer model to predict the change in average global temperatures over the next 100 years. The model accounts for a wide variety of variables that could affect temperature during this time.
These variables include:
Carbon dioxide emissions from human activity (x) - This variable is considered to have the greatest impact on temperature predictions as human activities have significantly increased the amount of carbon dioxide in the atmosphere, which is a major greenhouse gas that causes global warming. Carbon dioxide emissions from activities in nature (y) - This variable also plays a role in temperature predictions as it contributes to the overall amount of carbon dioxide in the atmosphere.Global sea level (z) - The time interval is sufficiently large for the global sea level to have a greater impact on temperature predictions as rising sea levels can affect coastal regions and weather patterns.Global rates of photosynthesis (p) - Changes in the Earth's orbital path can affect the global rates of photosynthesis, which in turn can affect temperature predictions.The acidity of ocean water (q) - While the acidity of ocean water is an important variable, it is considered to have a less significant impact on temperature predictions compared to the other variables listed above.In summary, the variables are ranked in order of their likely impact on temperature predictions, with carbon dioxide emissions from the human activity being the most significant variable, followed by carbon dioxide emissions from activities in nature, global sea level, global rates of photosynthesis, and acidity of ocean water.
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CAN SOMEONE HELP PLEASE !
Answer:
a= 1
b= 3
c= 1
d= 2
e= 6
f= 8
Step-by-step explanation:
_________
I will mark 1st correct answer as brainliest
Let f(x) = log base 3 of x and g(x) = 3^x.
What is the value of
[f(g(f(f(f(g(27))))))?]
I will mark 1st correct answer as brainliest
The value of the composite function [f(g(f(f(f(g(27))))))], when f(x) = log₃(x) and g(x) = 3ˣ is 1
How to evaluate the composite functionFrom the question, we have the following parameters that can be used in our computation:
Let f(x) = log base 3 of x and g(x) = 3^x.
Express the equations properly
So, we have the following representations
f(x) = log₃(x) and g(x) = 3ˣ
Calculating the composite function [f(g(f(f(f(g(27))))))], we have
[f(g(f(f(f(g(27))))))] = [f(g(f(f(f(3²⁷))))))]
Next, we have:
[f(g(f(f(f(g(27))))))] = [f(g(f(f(log₃(3²⁷))))))]
This gives
[f(g(f(f(f(g(27))))))] = [f(g(f(f(27))))))]
For f(27), we have
[f(g(f(f(f(g(27))))))] = [f(g(f(3)))))]
For f(3), we have
[f(g(f(f(f(g(27))))))] = [f(g(1))))]
Calculating g(1), we have
[f(g(f(f(f(g(27))))))] = f(3)
Lastly, we have
[f(g(f(f(f(g(27))))))] = log₃(3)
Evaluate
[f(g(f(f(f(g(27))))))] = 1
Hence, the solution is 1
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PLease help and the right answer gets marked brainliest!!!!!!!!!!!
The answer is 382.5! Also I rounded to the nearest tenth. I hope this helps, have a beautiful day!
Ashley is selling handmade jewelry to earn money for camp. Bracelets sell for $7.62 and
necklaces sell for $15.67, and she needs to make at least $450 in revenue to cover the cost
of camp.
Write the inequality in standard form that describes this situation. Use the given numbers and
the following variables.
X
= the number of bracelets
V
= the number of necklaces
Equation for the sentence's inequality are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.
what is inequality ?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
given
let X = the number of bracelets
let Y = the number of necklaces
The inequality equation = 7.62x + 15.67y >= 450
Equation for the sentence's inequality She needs to generate at least $450 in revenue because bracelets are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.
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Logan has 4 2/3 cup of peanuts and 3 2/3 cup of cashews if you combine some nuts how much will he have
Answer: He will have 8 1/3 nuts
Step-by-step explanation:
Amount of peanuts=4 2/3 cups
Amount of cashews=3 2/3 cups
Combing the nuts will give Total amount of nuts ( peanuts and cashews)
=4 2/3 +3 2/3
=7 4/3
7 + 1 1/3
8 1/3 nuts
number of faces?
number of edges?
number of vertices?
Answer:
no of face 8
no of vertices 16
no of edges 24
In Mrs. Trainer's math class, Siobhan's first five math quiz scores are 76, 96, 81, 69, and 41. Siobhan takes the sixth math quiz and scores an 85. How will the mean change if the sixth score is added to the list?
Answer:
the median will go up 2.5 points from 76 to 78.5
Step-by-step explanation:
You want to know the effect on the median of adding 85 to the list of scores: 76, 96, 81, 69, 41.
MedianThe median is the middle value when the list is sorted into order. The ordered list is ...
41, 69, 76, 81, 96
The median is 76.
New MedianWhen 85 is added to the list, the sorted list becomes ...
41, 69, 76, 81, 85, 96
There are two middle scores, so the median is their average:
(76+81)/2 = 78.5
The median increases 2.5 points from 76 to 78.5 when the score is added.
PLEASE I REALLY NEED HELP!!! DUE SOON
Answer:
Answer is 69.08 m
Step-by-step explanation:
use formula 2 pie r
radius=diameter/2
=22/2
=11
therefore radius is 11
put the value of radius in the formula 2 pie r
pie=3.14